146284448544 has 144 divisors (see below), whose sum is σ = 448665634872. Its totient is φ = 44943335424.

The previous prime is 146284448543. The next prime is 146284448551. The reversal of 146284448544 is 445844482641.

146284448544 is a `hidden beast` number, since 1 + 4 + 628 + 4 + 4 + 4 + 8 + 5 + 4 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 130855827600 + 15428620944 = 361740^2 + 124212^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (146284448543) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2505832 + ... + 2563544.

Almost surely, 2^146284448544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146284448544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224332817436).

146284448544 is an abundant number, since it is smaller than the sum of its proper divisors (302381186328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

146284448544 is a wasteful number, since it uses less digits than its factorization.

146284448544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58419 (or 58408 counting only the distinct ones).

The product of its digits is 15728640, while the sum is 54.

The spelling of 146284448544 in words is "one hundred forty-six billion, two hundred eighty-four million, four hundred forty-eight thousand, five hundred forty-four".